Introduction to Vector Algebra

1. There will be total 20 MCQ in this test. 2. Please keep a pen and paper ready for rough work but keep your books away. 3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number. 4. No negative marking for incorrect choice. 5. Please click on “Finish the Test” when you want to exit. 6. All the best – Happy Studying.

1. If a, b, c and d are the position vectors of the points A, B, C and D such that a + c = b + d, then ABCD is a

Trapezium

Rectangle

Square

Parallelogram

Question 1 of 20

2. For what values of x and y, the vectors are equal?

A

B

C

D

Question 2 of 20

3. Two or more vectors having the same initial point are called

co-terminus vectors.

zero vectors

co-initial vectors

unit vectors

Question 3 of 20

4. If ,the vectors a and b are ______ .

coinitial

free vector

zero vector

collinear

Question 4 of 20

5. If the magnitude of the position vector is 7, the value of x is:

±1

±5

±3

±2

Question 5 of 20

6. If , then

A

B

C

D

Question 6 of 20

7. What is the additive identity of a vector?

zero vector

Negative of the vector

unit vector

The vector itself

Question 7 of 20

8. The angles α, β, γ made by the vector with the positive directions of X, Y and Z-axes respectively, then the direction cosines of the vector are:

A

B

C

D

Question 8 of 20

9. If a and b are the position vectors of two points A and B and C is a point on AB produced such that AC = 3AB, then position vector of C will be

3b – 2a

3a – b

3a – 2b

3b – a

Question 9 of 20

10. Vector of magnitude 1 is called.

Constant vector

Zero vector

Unit vector

None of these

Question 10 of 20

11. If and , then the value of scalars x and y are:

x = 1 and y = -2

x = -2 and y = 1

x = 2 and y = -1

x = 2 and y = 1

Question 11 of 20

12. The direction of zero vector.

Is towards the origin

Is towards a fixed point

Does not exist

Is indeterminate

Question 12 of 20

13. The unit vector in the direction of , where A and B are the points (2, – 3, 7) and (1, 3, – 4) is:

A

B

C

D

Question 13 of 20

14. If a be magnitude of vector then

a > 0

a ≤ 0

a ≥ 0

a < 0

Question 14 of 20

15. A vector of magnitude 14 units, which is parallel to the vector .

A

B

C

D

Question 15 of 20

16. For any two vectors a and b

|a – b| ≥ |a| – |b|

|a – b| = |a| – |b|

|a + b| ≤ |a – |b|

|a – b| = |a + b|

Question 16 of 20

17. Vectors that may be subject to its parallel displacement without changing its magnitude and direction are called _________.

Free vectors

Coinitial vectors

Collinear vectors.

Parallel vectors.

Question 17 of 20

18. A vector whose initial and terminal points coincide, is called

zero vector

unit vector

equal vectors

coterminus vectors

Question 18 of 20

19. A point from a vector starts is called …… and where it ends is called its ……

terminal point, end point.

initial point, terminal point

Origin, end point

initial point, end point

Question 19 of 20

20. If are position vectors of the points (- 1, 1) and (m, – 2). then for what value of m, the vectors are collinear.